Answer:
area of the triangle= 1/2 × base × height
24 = 1/2 × 4 × height
height. = 24/2
= 12 inches
answer is third option
Answer:
35 different selections of soundtracks are possible
Step-by-step explanation:
Total number of soundtracks available at the store = 7
Enny decides to purchase 3 movie soundtracks.
So, in this problem we have to find in how many ways can Enny chose 3 soundtracks out of 7. The order in which the soundtracks are chosen does not matter e.g soundtracks A,B and C are the same as soundtracks B,C and A.
In an arrangement when the order does not matter, we use combinations to find the total possible number of arrangements or selections.
So, for this problem choosing 3 soundtracks out of 7 means forming combinations from 7 objects taken 3 at a time. This can be represented mathematically as:
The general formula for combinations is:
Using the values, we get:
This means, Enny can make 35 different selections of soundtracks.
The coordinate of H' from the transformation (x, y) → (x + 8, y + 5) is H'(4, 8)
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Given the translation of figure EFGHK using the rule (x, y) → (x + 8, y + 5). If point H is at (-4, 3), the coordinate of H' would be at (4, 8)
The coordinate of H' from the transformation (x, y) → (x + 8, y + 5) is H'(4, 8)
Find out more on transformation at: brainly.com/question/4057530
(x-h)^2=4p(y-k)
we know it is this one because the directix is y=something and not x=something
(h,k) is the vertex
p is the distance from the vertex to the focus
it is 1/2 the distance from the vertex to the directix
if p is positive, the focus is above the vertex
if p is negative, the focus is below the vertex
we have
focus is (6,2) and directix is y=1
distance from (6,2) to y=1 is the distance from 2 to 1 which is 1
1/2=p
since 1<2, we see that the focus is above the vertex (when the focus is greater than the directix, then the graph opens to the right or up)
p=1/2
1/2 below (6,2) is (6,1.5)
vertex is (6,1.5)
p=1/2
(x-6)^2=4(0.5)(y-1.5)
(x-6)^2=2(y-1.5)
(x-6)^2=2y-3
2y=(x-6)^2+3
divide both sides by 2
y=1/2 times (x-6)^2+3/2
f(x)=1/2 times (x-6)^2+3/2
2nd option is answer
